376440540 has 288 divisors, whose sum is σ = 1351365120. Its totient is φ = 77704704.

The previous prime is 376440481. The next prime is 376440587. The reversal of 376440540 is 45044673.

It is a happy number.

It is a super-3 number, since 3×376440540³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284634 + ... + 1284926.

It is an arithmetic number, because the mean of its divisors is an integer number (4692240).

Almost surely, 2^376440540 is an apocalyptic number.

376440540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376440540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675682560).

376440540 is an abundant number, since it is smaller than the sum of its proper divisors (974924580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

376440540 is a wasteful number, since it uses less digits than its factorization.

376440540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 376440540 is about 19402.0756621553. The cubic root of 376440540 is about 722.0469911584.

The spelling of 376440540 in words is "three hundred seventy-six million, four hundred forty thousand, five hundred forty".